The lines connecting the vertices and corresponding circle-circle intersections in Malfatti's problem coincide in a point called the first Ajima-Malfatti
point (Kimberling and MacDonald 1990, Kimberling 1994). This point has triangle
Similarly, letting , , and be the excenters of , then the lines , , and are coincident in another point called the second
Ajima-Malfatti point, which is Kimberling center (but is at present given erroneously
in Kimberling's tabulation).
These points are sometimes simply called the Malfatti points (Kimberling 1994).